(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A RLC circuit has a resonance frequency of 6 KHz. When it is driven by a 8 KHz ac generator, it has an impedance of 1 k W. What are R, L and C in the circuit?

2. Relevant equations

3. The attempt at a solution

the equation for the resonant frequency will be

fo = 1 / 2 π √(L C)

the equation for the impedence will be

Z = √[R2 + (XL - XC)^2]

where XL = 2 π f L

XC = 1 / 2 π f C

f = 8 x 10^3 Hz

fo = 6 x 10^3 Hz

Z = 1 x 10^3 Ω

How am I supposed to solve for the three unkowns(R,L,C) with only two equations? Is there a third relationship for R?

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# Homework Help: RLC circuit frequency

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